1 - 10?
Number Theory
Level
2
Which is the smallest number which is divisible by all numbers 1-10 ? (Hint : Find their LCM )
The answer is 2520.
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1 solution
The LCM of these numbers is the answer.
1 = 1
2 = 2
3 = 3
4 = 2 x 2
5 = 5
6 = 2 x 3
7 = 7
8 = 2 x 2x 2
9 = 3 x 3
10 = 2 x 5
LCM = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520
The answer is 2520